The figure shows two closed paths wrapped around two conducting loops carrying currents iq = 5.0 A and i2 = 2.2 A. What is the value of the integral B. ds for (a) path 1 and (b) path 2? DI D2 (a) Number i Units (b) Number i Units
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- For the circuit shown below, Ɛ = 32 V, R, = 27 N, R, = 54 N, R3 = 81 N, and L = 4.0 mH. Find the values of I, and I, (in A) at the following times. R1 R3 1/2 R2 (a) immediately after switch S is closed I, = A I2 A (b) a long time after S is closed I, A I2 A (c) immediately after S is reopened (Assume the circuit has reached a steady state before S is reopened.) I = A I2 A = (d) a long time after S is reopened A I, = A 0000Each of the eight conductors in the figure carries 7.37 A of current into or out of the page. Two paths are indicated for the line integral B · d s. What is the value of the integral for (a) path 1 and (b) path 2? (a) Number Units (b) Number Units7. Consider two semi-infinite wires connected with a 4 circular bend and current i flowing as shown. Using an appropriate combination of the Biot-Savart Law dB = Hoi dĩ x ê Ampere's Law 4n r² PB• ds = H, ime > superposition, and symmetry to calculate B at point P as indicated. Note: You must correctly support each step and explain exactly what assumptions you are making. R
- B₁ X B>A>C C>B>A B>A=C AY X X A>B>C A=B=C=0 Consider a cross-section through an ideal torus. The arrangement of wires is shown in the figure, and each wire carries an identical current, i (x means current into the page, a dot means current out of the page). Three possible Amperian paths are shown as the dotted circles, the largest is C, the smallest is A. Rank the magnitude of the magnetic field you would find on the three Amperian paths.At time t = 0, the switch is closed in the circuit shown. What is the current through resistor R3 immediately after the switch is closed? Vo R1 R3 R2 (R,+R;) O V(R,+R,+R;) R, (R,+R3)Each of the eight conductors in the figure carries 3.15 A of current into or out of the page. Two paths are indicated for the line integral B. ds. What is the value of the integral for (a) path 1 and (b) path 2?
- dle X COE Question 4 Finish attempt.. The figure shows, in cross section, several conductors that carry currents through the plane of the figure. The currents have the magnitudes I, = 4 A,l2 = 6 A, and I3 = 2 A, and the directions shown. Four paths, labeled a through d, are shown. Not yet answered Marked out of What is the line integral OB.dL for the path b 2.00 P Flag question 1,0 d. Select one: 1.01 x 10 Tm 2.14 x 10 T.m -5.03 x 105 Tm 2.51 x 10-6T.m None of these is correct 3.01 x 10 Tm X.Physics students, wanted to investigate the forces of attraction (F) between two parallel conductors carrying currents li and l2 (also known as Ampere's Law) The students noticed that as the length of the parallel conductors (/) was increased the force of attraction between the conductors (F) also increased. The data collected is in the |L= SA conductor 1 average separation (d = 0.50m) table: conductor 2 Length, / (m) Force, F (x 10-5 N) 12= 5A 1.00 9.00 1.20 10.8 1.40 12,5 1.60 14.2 1.80 16.2 (iii) On the grid plot the force and length values from the table. (iv) Draw the line of best fit (v) Find the slope of the line of best fit. (c) Use the slope calculated and the Ampere's Law equation to determine the experimental value of the magnetic force constant, k.A cylindrical solenoid of length 0.711 m and radius 0.0334 m which carries a current of i = 4.06 A has a total stored energy of UB = 4460 J. How many turns per unit length does the solenoid have? i m-1
- A 1.80 cm x 1.80 cm square loop of wire with resistance 1.10×10-² has one edge parallel to a long straight wire. The near edge of the loop is 1.20 cm from the wire. The current in the wire is increasing at the rate of 100 A/s.a a X, Two long wires are parallel to the zaxis and are located at x = 0, y = ±a. Take a = 6 cm. a) Find B at point P with b = 5 cm, given that the wires carry equal currents in opposite direction I1 = I2 = 6 A. B = ( it j)T b) At what point is B equal to 10 % of its value at x = 0? b = cm.= In the figure below, the rolling axle, 1.50 m long, is pushed along horizontal rails at a constant speed v = 11.00 m/s. A resistor R 0.4000 2 is connected to the rails at points a and b, which are directly opposite each other. The wheels make good electrical contact with the rails, so the axle, rails, and resistor form a closed-loop circuit. The only significant resistance in the circuit is R. A uniform magnetic field B = 0.0700 T is vertically downwards. 100 (a) Find the induced current I in the resistor. A (b) What horizontal force F is required to keep the axle rolling at constant speed? N (c) Which end of the resistor, a or b, is at the higher electric potential? O Point a is at a higher potential. Point b is at a higher potential. Point a and Point b are at equal potentials. (d) After the axle rolls past the resistor, does the current in R reverse direction? Yes No Explain your answer.